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Arc Length and Sector Area
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Warm-Up Complete # 5, 8, 13, 14 on worksheet!
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Notecard Warm Up – To be Turned In
Write your name on the notecard On the provided notecard, write the formula for the area of the following: Rectangle Triangle Square Trapezoid Parallelogram Regular Polygon Rhombus Kite
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Homework Check 172.8in in m2 m m cm2 in = cm2 9. <1=120, <2=60, <3=30 10. <4=90, <5=45, <6=45 11. <7=60, <8=30, <9=60 12. <1=36, <2=18, <3=72
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Extra Practice 200cm2 2. 525in2 3. 432m2 4. 33.8cm2 5. 216in2 6. 116
11. 80in in2 cm2
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Quiz
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Today’s Objective Students will be able to calculate the length of an arc and the area of a sector.
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7-6 Arc Length Review: The Circumference is the distance around a circle. C=2πr or C=πd Definition: The Arc Length is the distance around an arc (a fraction of the circumference) Arc length is DIFFERENT from Arc Measure****
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Arc Length: is a fraction of a circle’s circumference (in terms of pi) Arc Measure: is equal to the central angle (in terms of degrees)
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Example Find the LENGTH of arc AB
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Ex 2: Find the length of arc ADB
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7-7 Sector Area Review: The Area of a circle is π*r2
Definition: A Sector is a region bounded by an arc and two radii
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Is a part of a circle bounded by an arc and the segment joining its endpoints
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Area of a Segment
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Ex 1: Find the area of the segment:
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Ex 2:
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Challenge: Find the area of the shaded region
12cm
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Challenge Find the area of the green figure.
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Classwork/Homework Worksheet Review for Test
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